修正Gram-Schmidt正交化构建电源分配网络时域宏模型
doi: 10.3724/SP.J.1146.2006.00486
Construction of Macromodel in Time Domain for Power Distribution Network Using Modified Gram-Schmidt Orthogonal
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摘要: 有理函数逼近法方程组病态条件数为构建电源分配网络时域宏模型带来了数值问题。该文提出利用修正Gram-Schmidt正交化处理对超定方程组系数矩阵进行正交三角分解，结合Bernoulli多项式求根方法及稳定、无源性准则可以精确构建无源时域宏模型。计算实例精确构建了自DC至1GHz频带内的宽带无源时域宏模型，从而验证了该方法的有效性。Abstract: The ill-conditioned normal equations bring numerical problems in construction of macromodel in time domain for power distribution networking using rational function approximation. This paper presents the superdefinite equations coefficient matrix can be decomposed in QR form using modified Gram-Schmidt orthogonal and the accurate passive macromodel in time domain can be constructed based on Bernoulli polynomial root finding method and the formulae for stability and passivity. Finally, a broadband passive macromodel constructed from DC to 1GHz is given to demonstrate the validity and accuracy of the method.
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